Drag each angle measure to the correct location on the image. Each angle measure can be used more than once. In the figure, two parallel lines are cut by two other parallel lines. The measures of one of the angles is labeled. Find the measures of the other angles and label them.

137° 52° 128° 38°

*then it’s the picture*

Vertical angles are always congruent. Since the lines are parallel, we can use the Alternate Interior Angle Theorem.

The way I got 128 was by using the fact that the angles would add up to 360 and the Vertical Angle Congruence Theorem. Basically, the formula is x + x + y + y = 360°. If you replace x with 52°, we can deduce that y is equal to 360 - (52 + 52)/2. That gives us 128°.